1.7(n-.2)+.03n=3.6n+2.1(.3n+.7)

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Solution for 1.7(n-.2)+.03n=3.6n+2.1(.3n+.7) equation:


Simplifying
1.7(n + -0.2) + 0.03n = 3.6n + 2.1(0.3n + 0.7)

Reorder the terms:
1.7(-0.2 + n) + 0.03n = 3.6n + 2.1(0.3n + 0.7)
(-0.2 * 1.7 + n * 1.7) + 0.03n = 3.6n + 2.1(0.3n + 0.7)
(-0.34 + 1.7n) + 0.03n = 3.6n + 2.1(0.3n + 0.7)

Combine like terms: 1.7n + 0.03n = 1.73n
-0.34 + 1.73n = 3.6n + 2.1(0.3n + 0.7)

Reorder the terms:
-0.34 + 1.73n = 3.6n + 2.1(0.7 + 0.3n)
-0.34 + 1.73n = 3.6n + (0.7 * 2.1 + 0.3n * 2.1)
-0.34 + 1.73n = 3.6n + (1.47 + 0.63n)

Reorder the terms:
-0.34 + 1.73n = 1.47 + 3.6n + 0.63n

Combine like terms: 3.6n + 0.63n = 4.23n
-0.34 + 1.73n = 1.47 + 4.23n

Solving
-0.34 + 1.73n = 1.47 + 4.23n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4.23n' to each side of the equation.
-0.34 + 1.73n + -4.23n = 1.47 + 4.23n + -4.23n

Combine like terms: 1.73n + -4.23n = -2.5n
-0.34 + -2.5n = 1.47 + 4.23n + -4.23n

Combine like terms: 4.23n + -4.23n = 0.00
-0.34 + -2.5n = 1.47 + 0.00
-0.34 + -2.5n = 1.47

Add '0.34' to each side of the equation.
-0.34 + 0.34 + -2.5n = 1.47 + 0.34

Combine like terms: -0.34 + 0.34 = 0.00
0.00 + -2.5n = 1.47 + 0.34
-2.5n = 1.47 + 0.34

Combine like terms: 1.47 + 0.34 = 1.81
-2.5n = 1.81

Divide each side by '-2.5'.
n = -0.724

Simplifying
n = -0.724

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